3 papers
math.SP2008
Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions
Tomas Ekholm, Andreas Enblom
This paper considers Lieb-Thirring inequalities for higher order differential operators. A result for general fourth-order operators on the half-line is developed, and the trace in…
math.SP2006
Lieb-Thirring inequalities on the half-line with critical exponent
Tomas Ekholm, Rupert L. Frank
We consider a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin and show that moments of its negative eigenvalues can be estimated by the part…
math-ph2005
A Hardy inequality in twisted waveguides
T. Ekholm, H. Kovarik, D. Krejcirik
We show that twisting of an infinite straight three-dimensional tube with non-circular cross-section gives rise to a Hardy-type inequality for the associated Dirichlet Laplacian. A…